A graph discretization of the Laplace-Beltrami operator

作者：Burago Dmitri^*; Ivanov Sergei; Kurylev Yaroslav

来源：Journal of Spectral Theory, 2014, 4(4): 675-714.

DOI：10.4171/JST/83

• Laplace
• graph
• discretization
• Riemannian

We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.

• 出版日期2014